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Proof step 19 from proof lpt-free-unref-remove-wbufs (previous step)

lpt.mapIndices(ns, λ lp. lp.size:= LEB_SIZE)[n] = mklp(m, m0, LP_FREE, m1), lpt[n] = mklp(m2, m3, lpf, m4), n < # lpt, lpf = LP_FREE → m2 = 0 ⊦ m = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 20:
⊦ lpt.mapIndices(ns, lptfun)[n] = (n ∈ ns ∧ n < # lpt ⊃ lptfun(lpt[n]);lpt[n])
Proof step 21:
(n ∈ ns ∧ n < # lpt ⊃ lpt[n].size:= LEB_SIZE;lpt[n]) = mklp(m, m0, LP_FREE, m1), lpt[n] = mklp(m2, m3, lpf, m4), n < # lpt, lpf = LP_FREE → m2 = 0 ⊦ m = 0

Rule argument

spec: array-indices, inst: lp-array name: mapindices-at seq: ⊦ lpt.mapIndices(ns, lptfun)[n] = (n ∈ ns ∧ n < # lpt ⊃ lptfun(lpt[n]);lpt[n]) subst: [n, lptfun, ns, lpt] → [n, λ lp. lp.size:= LEB_SIZE, ns, lpt] flags: <all paths>

Additional information

Used terms: n, λ lp. lp.size:= LEB_SIZE, ns, lpt